#include #include using namespace std; using namespace atcoder; istream &operator>>(istream &is, modint &a) { long long v; is >> v; a = v; return is; } ostream &operator<<(ostream &os, const modint &a) { return os << a.val(); } istream &operator>>(istream &is, modint998244353 &a) { long long v; is >> v; a = v; return is; } ostream &operator<<(ostream &os, const modint998244353 &a) { return os << a.val(); } istream &operator>>(istream &is, modint1000000007 &a) { long long v; is >> v; a = v; return is; } ostream &operator<<(ostream &os, const modint1000000007 &a) { return os << a.val(); } typedef long long ll; typedef vector> Graph; typedef pair pii; typedef pair pll; #define FOR(i,l,r) for (int i = l;i < (int)(r); i++) #define rep(i,n) for (int i = 0;i < (int)(n); i++) #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define my_sort(x) sort(x.begin(), x.end()) #define my_max(x) *max_element(all(x)) #define my_min(x) *min_element(all(x)) template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } const int INF = (1<<30) - 1; const ll LINF = (1LL<<62) - 1; const int MOD = 998244353; const int MOD2 = 1e9+7; const double PI = acos(-1); vector di = {1,0,-1,0}; vector dj = {0,1,0,-1}; #ifdef LOCAL # include # define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define debug(...) (static_cast(0)) #endif // https://qiita.com/drken/items/3beb679e54266f20ab63 struct Eratosthenes{ int N; vector isprime; vector minfactor, mobius; Eratosthenes(int N_max = 1e7){init(N_max);} //初期化 void init(int N_max = 1e7){ int N = N_max; isprime.assign(N+1,true); minfactor.assign(N+1,-1); mobius.assign(N+1,1); //Eratosthenes O(NloglogN) isprime[0] = false; isprime[1] = false; for(int p=2;p<=N;p++){ if (!isprime[p])continue; minfactor[p] = p; mobius[p] = -1; //pの倍数の処理 for(int q=2*p;q<=N;q+=p){ isprime[q] = false; if (minfactor[q] == -1){ minfactor[q] = p; } if ((q/p) % p == 0) mobius[q] = 0; else mobius[q] *= -1; } } } //素数判定,O(1) bool judge_prime(int num){ return isprime[num]; } //素数列挙,O(N) vector list_primes(int num = -1){ if (num == -1) num = N; vector primes; for(ll p=0;p<=num;p++){ if (isprime[p]) primes.push_back(p); } return primes; } //高速素因数分解,O(logN),{(素因数,個数)...} vector factorize(int x){ vector ans; while(x > 1){ int p = minfactor[x]; int e = 0; while(minfactor[x] == p){ x /= p; e++; } ans.push_back(make_pair(p,e)); } return ans; } //高速約数列挙 O(240(N <= 1e6),1344(N <= 1e9)) vector divisors(int x){ vector ans; ans.push_back(1); vector facts = factorize(x); for(auto [p,e]:facts){ int s = ans.size(); for(int i=0;i mobius[n] = 0 //mobius[n] = pow(-1,Nの素数の種類) int my_mobius(int x){ return mobius[x]; } }; // A ^ N を M で割ったあまり template T pow_mod(T A, T N, T M) { T res = 1 % M; A %= M; while (N) { if (N & 1) res = (res * A) % M; A = (A * A) % M; N >>= 1; } return res; } // Miller-Rabin 素数判定 bool Miller_Rabin(long long N) { if (N <= 1) return false; if (N == 2) return true; if (N % 2 == 0) return false; vector A = {2, 325, 9375, 28178, 450775, 9780504, 1795265022}; long long s = 0, d = N - 1; while (d % 2 == 0) { ++s; d >>= 1; } for (auto a : A) { if (a % N == 0) return true; long long t, x = pow_mod<__int128_t>(a, d, N); if (x != 1) { for (t = 0; t < s; ++t) { if (x == N - 1) break; x = __int128_t(x) * x % N; } if (t == s) return false; } } return true; } int main(){ cin.tie(0); ios_base::sync_with_stdio(false); Eratosthenes er(101010); vector p1 = er.list_primes(3000); vector p2 = er.list_primes(100000); int Q; cin >> Q; rep(q, Q){ ll A; cin >> A; int cnt = 0; for(auto &p : p1){ if(A % p) continue; while(A % p == 0) { A /= p; cnt++; } } if(cnt == 0){ cout << "No" << endl; continue; } for(auto &p : p2){ if(A % p) continue; while(A % p == 0) { A /= p; cnt++; } } if(cnt <= 1){ cout << "No" << endl; continue; } if(A > 1)cnt += Miller_Rabin(A); if(cnt == 3){ cout << "Yes" << endl; } else{ cout << "No" << endl; } } }